Michael Winckler | Universität Heidelberg (original) (raw)
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Papers by Michael Winckler
mairec.org
Page 1. IJRFM Volume 1, Issue 3 (July, 2011) (ISSN 2231-5985) International Journal of Research i... more Page 1. IJRFM Volume 1, Issue 3 (July, 2011) (ISSN 2231-5985) International Journal of Research in Finance & Marketing http://www.mairec org 163 APPROXIMATION OF THE INFLUENCE OF MONETARY POLICY ON ECONOMIC ...
Contributions in Mathematical and Computational Sciences, 2012
In this paper, an overview of image-based 3D modeling techniques applied to Cultural Heritage obj... more In this paper, an overview of image-based 3D modeling techniques applied to Cultural Heritage objects will be given. In two case studies we present various sensors, acquisition configurations and platforms for image acquisition and describe the image processing workflow. Additionally, actual and future developments and trends such as further automation of image processing and the combination of image-based techniques with data acquired by other sensors will be discussed. In this paper, we focus on those image-based techniques that aim for 3D reconstruction of objects and terrain from multi-image processing, though for several applications other image-based techniques can be an option as well, e.g. the generation of facade plans from single images or structured light systems for small objects and accuracies in the range of less than 100 μm.
iwr.uni-heidelberg.de
Das Seminar Algorithmen für beschleunigtes Rendering fand im Wintersemester 2006/2007 in der Arbe... more Das Seminar Algorithmen für beschleunigtes Rendering fand im Wintersemester 2006/2007 in der Arbeitsgruppe Visualisierung und Numerische Geometrie an der Universität Heidelberg statt. Verbin-dendes gemeinsames Interesse der Mitglieder der Gruppe, Studenten, ...
Muqarnas - stalactite vaults - form an essential part of Islamic architecture. The first written ... more Muqarnas - stalactite vaults - form an essential part of Islamic architecture. The first written reference on the geometrical concepts dates back to a treatise by the famous Islamic mathematician and astronomer al-Kashi (died 1429). The relation between layout and spatial arrangement is the topic of this video. First, historical sites of muqarnas around the Mediterranian Sea and in Middle Asia are shown. Then follows an introduction to the basic concepts of muqarnas construction with the help of computer graphics. The various elements are visualized and the connection between erected vaults and their 2D projections is explained. The focus point of reconstructing muqarnas lies in Iran. Turning to a still existing niche of the Friday Mosque at Natanz, the film continues with a reconstruction of a vault corresponding to the oldest known muqarnas design, found at Takht-i Suleyman. Finally, animations of illuminated muqarnas at Bastam reveal the fine art of both architecture and computer...
The video Magic of Muqarnas gives an overview of the various styles and locations of muqarnas, st... more The video Magic of Muqarnas gives an overview of the various styles and locations of muqarnas, stalactite vaults, in Islamic architecture. They consist of only a few simple 3D-elements which are combined in rather complex artworks. The dierent elements are introduced and ...
... by Reinhold Von Schwerin , Michael Winckler. Add To MetaCart. ...
Journal of Applied Mathematics and Mechanics, 1996
The simulation of models for vehicle systems is a challenging task due to the high indez of the D... more The simulation of models for vehicle systems is a challenging task due to the high indez of the DAEs used for modelling and particularly the almost universal presence of discontinuous effects (called simply discontinuities in the sequel) inside the model. The present paper gives a short survey over the variety of discontinuities usually encountered in vehicle models, their error controlled treatment with integrator libraries with root finding option e.g. MBSSIM (see [3]) and the benefits both in accuracy and computation time that result from such a treatment. The paper is organized in three sections. First some basic facts about multibody systems and the integrator library MBSSIM are given. After this a benchmark model from the field of vehicle dynamics is presented with a short discussion of the typical discontinuities encountered in such models. Numerical results comparing the root finding approach with conventionally implemented models conclude this paper.
Mathematik Schlüsseltechnologie für die Zukunft, 1997
Training a school team to participate in the First Lego League is not an easy task. It is further... more Training a school team to participate in the First Lego League is not an easy task. It is further complicated by the fact that many teams are formed with just a few weeks time to go between the first training session and the actual competition. We describe parts of a training course designed for exactly this situation to teach three prime objectives for a successful participation as a newcomer team at the FLL: defining realistic goals, building strong and versatile teams and introducing a few important robotics principles by sample experience. In two examples from the actual training set we concentrate on these principles and how the design of the exercise as well as the role of the teacher/moderator can influence the learning curve concerning these objectives.
The sheer computing power of modern information technology is changing the face of research not j... more The sheer computing power of modern information technology is changing the face of research not just in science, technology and mathematics, but in humanities and cultural studies too. Recent decades have seen a major shift both in attitudes and deployment of computers, which are now vital and highly effective tools in disciplines where they were once viewed as elaborate typewriters. This revealing volume details the vast array of computing applications that researchers in the humanities now have recourse to, including the dissemination of scholarly information through virtual co-laboratories, data retrieval, and the modeling of complex processes that contribute to our natural and cultural heritage. One key area covered in this book is the versatility of computers in presenting images and graphics, which is transforming the analysis of data sets and archaeological reconstructions alike. The papers published here are grouped into three broad categories that cover mathematical and com...
For optimal vehicle design as well as for testing the influence of production tolerances, suitabl... more For optimal vehicle design as well as for testing the influence of production tolerances, suitable mathematical methods are needed to replace current 'variation by hand' approaches of sensitivity analysis in vehicle system dynamics. An important tool in this respect are integrators that are able to cope with the almost universal presence of discontinuous effects like abrupt changes of the model equations or even jumps in the state variables, especially when generating directional derivatives needed for internal differentiation. We will show that under certain assumptions that comprise a large class of discontinuous effects, the internal numerical differentiation approach in connection with handling state events by root finding, it is possible to obtain the necessary derivative information in a correct and reliable way.
Geometric modeling of vast building complexes is a tedious and difficult task. In contrast to the... more Geometric modeling of vast building complexes is a tedious and difficult task. In contrast to the a priori work of an architect who constructs a new building, the computer reconstruction of existing (old or ancient) buildings faces a serious problem: The computer model copies the real world not vice versa. This leads to the question of model abstraction. While the real world building features a vast amount of detail, the model has to reduce these details to a point where a computer model is small enought to be managable by current hardand software. The Angkor Temple Generator, which we developed over the last five years, addresses this dilemma behind the modelling process and exemplifies a modular solution for a defined class of buildings. In this paper we present the example of temple columns to explain the methods we use in the ATG for modelling Angkor style temples efficiently and with a high level of detail. Analyzing temples of the style of Angkor (Cambodia) leads to the constr...
mairec.org
Page 1. IJRFM Volume 1, Issue 3 (July, 2011) (ISSN 2231-5985) International Journal of Research i... more Page 1. IJRFM Volume 1, Issue 3 (July, 2011) (ISSN 2231-5985) International Journal of Research in Finance & Marketing http://www.mairec org 163 APPROXIMATION OF THE INFLUENCE OF MONETARY POLICY ON ECONOMIC ...
Contributions in Mathematical and Computational Sciences, 2012
In this paper, an overview of image-based 3D modeling techniques applied to Cultural Heritage obj... more In this paper, an overview of image-based 3D modeling techniques applied to Cultural Heritage objects will be given. In two case studies we present various sensors, acquisition configurations and platforms for image acquisition and describe the image processing workflow. Additionally, actual and future developments and trends such as further automation of image processing and the combination of image-based techniques with data acquired by other sensors will be discussed. In this paper, we focus on those image-based techniques that aim for 3D reconstruction of objects and terrain from multi-image processing, though for several applications other image-based techniques can be an option as well, e.g. the generation of facade plans from single images or structured light systems for small objects and accuracies in the range of less than 100 μm.
iwr.uni-heidelberg.de
Das Seminar Algorithmen für beschleunigtes Rendering fand im Wintersemester 2006/2007 in der Arbe... more Das Seminar Algorithmen für beschleunigtes Rendering fand im Wintersemester 2006/2007 in der Arbeitsgruppe Visualisierung und Numerische Geometrie an der Universität Heidelberg statt. Verbin-dendes gemeinsames Interesse der Mitglieder der Gruppe, Studenten, ...
Muqarnas - stalactite vaults - form an essential part of Islamic architecture. The first written ... more Muqarnas - stalactite vaults - form an essential part of Islamic architecture. The first written reference on the geometrical concepts dates back to a treatise by the famous Islamic mathematician and astronomer al-Kashi (died 1429). The relation between layout and spatial arrangement is the topic of this video. First, historical sites of muqarnas around the Mediterranian Sea and in Middle Asia are shown. Then follows an introduction to the basic concepts of muqarnas construction with the help of computer graphics. The various elements are visualized and the connection between erected vaults and their 2D projections is explained. The focus point of reconstructing muqarnas lies in Iran. Turning to a still existing niche of the Friday Mosque at Natanz, the film continues with a reconstruction of a vault corresponding to the oldest known muqarnas design, found at Takht-i Suleyman. Finally, animations of illuminated muqarnas at Bastam reveal the fine art of both architecture and computer...
The video Magic of Muqarnas gives an overview of the various styles and locations of muqarnas, st... more The video Magic of Muqarnas gives an overview of the various styles and locations of muqarnas, stalactite vaults, in Islamic architecture. They consist of only a few simple 3D-elements which are combined in rather complex artworks. The dierent elements are introduced and ...
... by Reinhold Von Schwerin , Michael Winckler. Add To MetaCart. ...
Journal of Applied Mathematics and Mechanics, 1996
The simulation of models for vehicle systems is a challenging task due to the high indez of the D... more The simulation of models for vehicle systems is a challenging task due to the high indez of the DAEs used for modelling and particularly the almost universal presence of discontinuous effects (called simply discontinuities in the sequel) inside the model. The present paper gives a short survey over the variety of discontinuities usually encountered in vehicle models, their error controlled treatment with integrator libraries with root finding option e.g. MBSSIM (see [3]) and the benefits both in accuracy and computation time that result from such a treatment. The paper is organized in three sections. First some basic facts about multibody systems and the integrator library MBSSIM are given. After this a benchmark model from the field of vehicle dynamics is presented with a short discussion of the typical discontinuities encountered in such models. Numerical results comparing the root finding approach with conventionally implemented models conclude this paper.
Mathematik Schlüsseltechnologie für die Zukunft, 1997
Training a school team to participate in the First Lego League is not an easy task. It is further... more Training a school team to participate in the First Lego League is not an easy task. It is further complicated by the fact that many teams are formed with just a few weeks time to go between the first training session and the actual competition. We describe parts of a training course designed for exactly this situation to teach three prime objectives for a successful participation as a newcomer team at the FLL: defining realistic goals, building strong and versatile teams and introducing a few important robotics principles by sample experience. In two examples from the actual training set we concentrate on these principles and how the design of the exercise as well as the role of the teacher/moderator can influence the learning curve concerning these objectives.
The sheer computing power of modern information technology is changing the face of research not j... more The sheer computing power of modern information technology is changing the face of research not just in science, technology and mathematics, but in humanities and cultural studies too. Recent decades have seen a major shift both in attitudes and deployment of computers, which are now vital and highly effective tools in disciplines where they were once viewed as elaborate typewriters. This revealing volume details the vast array of computing applications that researchers in the humanities now have recourse to, including the dissemination of scholarly information through virtual co-laboratories, data retrieval, and the modeling of complex processes that contribute to our natural and cultural heritage. One key area covered in this book is the versatility of computers in presenting images and graphics, which is transforming the analysis of data sets and archaeological reconstructions alike. The papers published here are grouped into three broad categories that cover mathematical and com...
For optimal vehicle design as well as for testing the influence of production tolerances, suitabl... more For optimal vehicle design as well as for testing the influence of production tolerances, suitable mathematical methods are needed to replace current 'variation by hand' approaches of sensitivity analysis in vehicle system dynamics. An important tool in this respect are integrators that are able to cope with the almost universal presence of discontinuous effects like abrupt changes of the model equations or even jumps in the state variables, especially when generating directional derivatives needed for internal differentiation. We will show that under certain assumptions that comprise a large class of discontinuous effects, the internal numerical differentiation approach in connection with handling state events by root finding, it is possible to obtain the necessary derivative information in a correct and reliable way.
Geometric modeling of vast building complexes is a tedious and difficult task. In contrast to the... more Geometric modeling of vast building complexes is a tedious and difficult task. In contrast to the a priori work of an architect who constructs a new building, the computer reconstruction of existing (old or ancient) buildings faces a serious problem: The computer model copies the real world not vice versa. This leads to the question of model abstraction. While the real world building features a vast amount of detail, the model has to reduce these details to a point where a computer model is small enought to be managable by current hardand software. The Angkor Temple Generator, which we developed over the last five years, addresses this dilemma behind the modelling process and exemplifies a modular solution for a defined class of buildings. In this paper we present the example of temple columns to explain the methods we use in the ATG for modelling Angkor style temples efficiently and with a high level of detail. Analyzing temples of the style of Angkor (Cambodia) leads to the constr...